Math Clip Art--Composite Figures--Simple Composite Shapes: 06

Topic

Geometry Concepts

Description

This image shows a composite shape consisting of a regular hexagon with two semicircles. This configuration is often found in decorative patterns and architectural elements.

To calculate the total area of this composite figure, we would add the area of the hexagon (A = (3√3/2)s²) to the areas of the two semicircles (½πr² for each). The perimeter would involve summing the lengths of the hexagon's sides and the curved edges of the semicircles.

This figure provides an excellent opportunity to discuss the properties of hexagons and circles, including symmetry and curvature. It also demonstrates how combining these shapes can create more complex and visually interesting forms.

Teacher's Script: "Examine this composite shape. How would you approach calculating its total area and perimeter? What properties of hexagons and semicircles can you identify in this figure? Can you think of any real-world applications where a shape like this might be useful, perhaps in design or architecture?"

For a complete collection of math clip art related to Geometry click on this link: Math Clip Art: Geometry Concepts Collection.